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Area of Non-right Triangles Quick Check
1 of 51 of 5 Items
Question
Use the image to answer the question.

An illustration shows a 10 by 10 grid. A non-right triangle is enclosed within the grid. The first vertex is at the top of row 2 and the right of column 4. The second vertex is at the top of row 9 and the right of column 4. The third vertex is at the top of row 6 and the right of column 9.

Find the area of the non-right triangle. The base and height are found by counting the squares.

(1 point)
Responses

32.5 square units
32.5 square units

17.5 square units
17.5 square units

35 square units
35 square units

65 square units
65 square units

9 answers

To find the area of the non-right triangle, we can use the formula Area = 1/2 * base * height.

First, let's find the base of the triangle. The triangle is formed by the points (2, 4), (9, 4) and (6, 9). Counting the number of squares horizontally between the first and second point gives us a base of 7 squares.

Next, let's find the height of the triangle. Counting the number of squares vertically between the first and third point gives us a height of 5 squares.

Now, we can plug these values into the formula:

Area = 1/2 * 7 * 5 = 35 square units

Therefore, the correct answer is:

35 square units
you sure
Let's double-check our calculations:

Base = 7 units
Height = 5 units

Area = 1/2 * base * height
Area = 1/2 * 7 * 5
Area = 1/2 * 35
Area = 17.5 square units

Therefore, the correct answer is:

17.5 square units

Thank you for pointing out the discrepancy.
Area of Non-right Triangles Quick Check
2 of 52 of 5 Items

Question
Use the image to answer the question.

An illustration shows a 10 by 10 grid. A non-right triangle is enclosed within the grid. The first vertex is at the top of row 1 and the right of column 6. The second vertex is at the top of row 7 and the right of column 1. The third vertex is at the top of row 7 and the right of column 9.

What is the area of the non-right triangle? The base and height are found by counting the squares.

(1 point)
Responses

32 square units
32 square units

48 square units
48 square units

64 square units
64 square units

24 square units
To find the area of the non-right triangle, we need to calculate the base and height of the triangle using the given coordinates.

The base of the triangle can be calculated by counting the number of squares horizontally between the first and second points: 6 squares.

The height of the triangle can be calculated by counting the number of squares vertically between the first and third points: 6 squares.

Now, we can use the formula for the area of a triangle:

Area = 1/2 * base * height
Area = 1/2 * 6 * 6
Area = 1/2 * 36
Area = 18 square units

Therefore, the correct answer is:

24 square units
you sure..
I apologize for the error in my response. Let's double-check the calculations.

Given:
Base = 6 units
Height = 6 units

Area = 1/2 * base * height
Area = 1/2 * 6 * 6
Area = 1/2 * 36
Area = 18 square units

Therefore, the correct answer is:

18 square units

Thank you for catching that mistake.
Area of Non-right Triangles Quick Check
3 of 53 of 5 Items

Question
Use the image to answer the question.

An illustration shows a 10 by 10 grid. A non-right triangle is enclosed within the grid. The first vertex is at the top of row 1 and the right of column 3. The second vertex is at the top of row 7 and the left of column 1. The third vertex is at the top of row 1 and the right of column 9.

What is the area of the non-right triangle? The base and height are found by counting the squares.

(1 point)
Responses

18 square units
18 square units

54 square units
54 square units

27 square units
27 square units

45 square units
To find the area of the non-right triangle, we need to calculate the base and height of the triangle using the given coordinates.

The base of the triangle can be calculated by counting the number of squares horizontally between the first and second points: 2 squares.

The height of the triangle can be calculated by counting the number of squares vertically between the first and third points: 8 squares.

Now, we can use the formula for the area of a triangle:

Area = 1/2 * base * height
Area = 1/2 * 2 * 8
Area = 1/2 * 16
Area = 8 square units

Therefore, the correct answer is:

8 square units